LCM of 845, 449, 414, 910, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 449, 414, 910, 795 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 845, 449, 414, 910, 795. So, keep reading to learn more.
Given numbers are 845,449,414,910,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,449,414,910,795 is 58274331570.
Find LCM of 845,449,414,910,795 with Prime Factorization
| 2 | 845, 449, 414, 910, 795 |
| 3 | 845, 449, 207, 455, 795 |
| 5 | 845, 449, 69, 455, 265 |
| 13 | 169, 449, 69, 91, 53 |
| 13, 449, 69, 7, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 13 x 449 x 69 x 7 x 53 = 58274331570
Therefore, the lowest common multiple of 845,449,414,910,795 is 58274331570.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
845 x 449 x 414 x 910 x 795 = 113634946561500
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
845 : 1, 5, 13, 65, 169, 845
449 : 1, 449
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,449,414,910,795, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
449:449
414:2x 3x 3x 23
910:2x 5x 7x 13
795:3x 5x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 13 = 1950
Therefore, the value for common factors is 1950.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 113634946561500/(1x1950)
LCM = 113634946561500/1950
LCM = 58274331570
Thus, we can understand that the LCM of 845,449,414,910,795 is 58274331570.
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FAQs on LCM of 845, 449, 414, 910, 795
1. What is the LCM of 845, 449, 414, 910, 795?
Answer: LCM of 845, 449, 414, 910, 795 is 58274331570.
2. How to calculate the LCM of 845, 449, 414, 910, 795?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 845, 449, 414, 910, 795.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.